Nuprl - Pf normalization_lemma 1 1 1 1 1 1 1 4 1 1 2 2 1 2

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At: normalization lemma 1 1 1 1 1 1 1 4 1 1 2 2 1 2

1. hyp: Formula List
2. concl: Formula List
3. fhyp.((f) > 0)
4. M: Formula List
5. N: Formula List
6. f: Formula
7. x1: Formula
8. x2: Formula
9. (x1x2) > 0
10. hyp = (M @ (x1x2.N))
11. L: Sequent List
12. sL.((s) = 0)
13. sL.|= s |= < x1.(M @ N),concl >
14. a:Assignment. sL.a | s a | < x1.(M @ N),concl >
15. L1: Sequent List
16. sL1.((s) = 0)
17. sL1.|= s |= < x2.(M @ N),concl >
18. a:Assignment. sL1.a | s a | < x2.(M @ N),concl >
19. s(L @ L1).|= s

|= < M @ (x1x2.N),concl >

By: FwdThru Thm* P:(TProp), L,M:T List. x(L @ M).P(x) xL.P(x) & xM.P(x) [-1] THEN Sel 2 (FwdThru Thm* P:(TProp), L,M:T List. x(L @ M).P(x) xL.P(x) & xM.P(x) [-2])

Generated subgoal:

1 20. sL.|= s
21. sL1.|= s
|= < M @ (x1x2.N),concl >

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